75355 ÷ 91 
We want to divide 75355 by 91.

Going ahead to step 1:
When dividing 7 by 91, we get 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 91

Advancing to step 2:
If we divide 75 by 91, we get 0 and a remainder of 75.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 75 and we're left with 75.
Take the next digit (3) from the dividend and append it to 75, then repeat: 753 / 91

Moving on to step 3:
The number 91 fits into 753 8 times, leaving a remainder of 25.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Subtract 728 from 753 to get 25.
Take the next digit (5) from the dividend and append it to 25, then repeat: 255 / 91

Moving on to step 4:
91 can be fit into 255 2 times, resulting in a remainder of 73.
The number 2 becomes the next digit in our result. 
Result so far: 82.0
If we subtract 182 from 255, we get 73.
Grab the next digit (5) from the dividend, add it to 73, then carry on: 735 / 91

On to step 5:
The number 91 fits into 735 8 times, leaving a remainder of 7.
The next digit of our result is 8. 
Result so far: 828.0
Subtract 728 from 735 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 6:
70 divided by 91 is 0 with a remainder of 70.
The next digit of our result is 0. 
Result so far: 828.0
Subtract 0 from 70 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Moving on to step 7:
700 divided by 91 is 7 with a remainder of 63.
The number 7 becomes the next digit in our result. 
Result so far: 828.07
If we take 637 away from 700, we end up with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Going ahead to step 8:
630 divided by 91 is 6 with a remainder of 84.
Write down 6 as next digit of the result. 
Result so far: 828.076
If we take 546 away from 630, we end up with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Going ahead to step 9:
The number 91 fits into 840 9 times, leaving a remainder of 21.
Record the quotient 9 as the next digit in the result. 
Result so far: 828.0769
If we take 819 away from 840, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 10:
The number 91 fits into 210 2 times, leaving a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 828.07692
If we subtract 182 from 210, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 11:
The number 91 fits into 280 3 times, leaving a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 828.076923
If we subtract 273 from 280, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 12:
91 can be fit into 70 0 times, resulting in a remainder of 70.
Record the quotient 0 as the next digit in the result. 
Result so far: 828.076923
Subtracting 0 from 70 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Advancing to step 13:
91 goes into 700 7 times with a remainder of 63.
Write down 7 as next digit of the result. 
Result so far: 828.07692307
Subtract 637 from 700 to get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

The quotient of the division is 828.07692307, and the remainder is 6.3e-08.